Final answer:
The question appears to have a typo, as it asks for a scenario where optical fiber transmission results in an increase from 0.35 W to 350 W, which defies the principles of energy conservation and signal attenuation. Normally, one would calculate the distance at which power is reduced by a certain factor using exponential decay, but due to the error, a correct answer cannot be provided.
Step-by-step explanation:
The question presented concerns optical fiber attenuation and involves calculating the distance at which the transmitted power is reduced to a specific value due to losses in the fiber. To solve this problem, we need to apply the concept of exponential decay in power transmission over the length of the optical fiber.
However, there appears to be a typo in the question as it is not possible for the power to increase from 0.35 W to 350 W during transmission in an optical fiber, as this would violate fundamental principles of energy conservation and the nature of signal attenuation in a medium like an optical fiber.
Typically, we would expect the student to ask how far the signal will transmit before the power is attenuated to a lower value than it started, rather than to a higher one as stated. Therefore, without correcting this error, it is not possible to provide a factual and physics-based answer. Typically, in the given scenario (where power decayed by a factor of 10 every 30 km), one would use logarithmic calculations to determine the distance where the power of the signal would drop to 0.035 W from a starting power of 0.35 W. The error in the question should be addressed before a realistic solution can be offered.